Atkin-Lehner |
2+ 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91234f |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-481470936973312 = -1 · 216 · 117 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ -2 2 3 11- 13+ -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11855,-930492] |
[a1,a2,a3,a4,a6] |
j |
104021936927/271777792 |
j-invariant |
L |
1.0815931009371 |
L(r)(E,1)/r! |
Ω |
0.27039825663837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8294g1 |
Quadratic twists by: -11 |